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Ordinal notation

In mathematical logic and set theory, an ordinal notation is a partial function mapping the set of all finite sequences of symbols, themselves members of a finite alphabet, to a countable set of ordinals. A Gödel numbering is an injective function mapping the set of well-formed formulae (a finite sequence of symbols on which the ordinal notation function…

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Ordinal notation

Nodes39
Edges38
Triples103
Avg. degree1.95
Density0.051282
Components1

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Ordinal notation

Top relations

related to References · 70
Ordinal notation → Abschnitts, Ackermann, American Mathematical Society, Amsterdam, Annals, Applied Logic, Berlin, Berlin-New York, BF01175640, Cantorschen Zahlenklasse, Constructive Ordinal Notation Systems, Constructive Ordinal Notations, Continuous Increasing Functions, Die Normalfunktionen, Effective Computability, English, Finite, First MIT, Folgen, For The Uninitiated
related to Feferman's θ functions · 7
Ordinal notation → An, And, Buchholz, Feferman, For, Often, The
related to Kleene's O · 6
Ordinal notation → Church, However, It, Kleene, Kleene's, Unfortunately
related to Veblen · 5
Ordinal notation → Feferman, Schütte, The, The Veblen, Veblen
related to Takeuti (ordinal diagrams) · 4
Ordinal notation → Buchholz, Feferman, Takeuti, The
related to Ackermann · 3
Ordinal notation → Ackermann, The, Veblen
related to Buchholz · 3
Ordinal notation → Buchholz, Define, Feferman's
related to Cantor · 2
Ordinal notation → Exponential, There
related to List · 2
Ordinal notation → It, There
is a · 1
Ordinal notation → partial function mapping the set of all finite sequences of symbols

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Important terminology

ordinal ordinals functions notation system function one displaystyle described notations number finite numbers natural systems set buchholz less feferman called

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ordinal notationis apartial function mapping the set of all finite sequences of symbols0.90text
Ordinal notationrelated to AckermannAckermann0.60section
Ordinal notationrelated to AckermannVeblen0.60section
Ordinal notationrelated to AckermannThe0.60section
Ordinal notationrelated to BuchholzBuchholz0.60section
Ordinal notationrelated to BuchholzFeferman's0.60section
Ordinal notationrelated to BuchholzDefine0.60section
Ordinal notationrelated to CantorExponential0.60section
Ordinal notationrelated to CantorThere0.60section
Ordinal notationrelated to Feferman's θ functionsFeferman0.60section
Ordinal notationrelated to Feferman's θ functionsBuchholz0.60section
Ordinal notationrelated to Feferman's θ functionsFor0.60section

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